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Finding the Fourth Proportional to 34,471.96, 51,697.94 and 15,742.06

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Solution

The fourth proportional to 34,471.96, 51,697.94 and 15,742.06 is: 23,608.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,471.96 : 51,697.94 = 15,742.06 : x
  2. Step 2: Convert to fraction form
    34,471.96/51,697.94 = 15,742.06/x
  3. Step 3: Cross multiply
    34,471.96x = 51,697.94 × 15,742.06
  4. Step 4: Simplify right side
    34,471.96x = 813,832,073.36
  5. Step 5: Solve for x
    x = 813,832,073.36/34,471.96
  6. Step 6: Final answer
    x = 23,608.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.